Understanding Diagonals of a Parallelogram

What is the basic property of diagonals in a parallelogram?

• They are parallel to each other.

• They are perpendicular to each other.

• They bisect each other.

• They are equal in length.

In the first problem, what is the relationship between segments AE and EC?

• AE is unrelated to EC.

• AE is half the length of EC.

• AE is twice the length of EC.

• AE is equal to EC.

How do you find the length of the entire diagonal AC in the first problem?

• Multiply the length of AE by 2.

• Add the lengths of AE and EC.

• Subtract the length of EC from AE.

• Divide the length of AE by 2.

What is the value of x in the first problem?

• 6

• 8

• 5

• 7

In the second problem, what is the expression for segment AE?

• 2x + 3

• 5x - 7

• 3x + 5

• 4x - 2

What is the expression for segment EC in the second problem?

• 5x - 7

• 3x + 5

• 2x + 3

• 4x - 2

How do you solve for x in the second problem?

• Set the expressions for AE and EC equal and solve.

• Add the expressions for AE and EC.

• Multiply the expressions for AE and EC.

• Subtract the expression for EC from AE.

What is the value of x in the second problem?

• 7

• 6

• 5

• 4

What is the length of segment AE in the second problem after finding x?

• 25 units

• 18 units

• 20 units

• 23 units

What is the total length of diagonal AC in the second problem?

• 46 units

• 46 units

• 406 units

• 40 units